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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Range of the gradient of a smooth bump function in finite dimensions


Author: Ludovic Rifford
Journal: Proc. Amer. Math. Soc. 131 (2003), 3063-3066
MSC (2000): Primary 46G05, 58C25
Published electronically: March 11, 2003
MathSciNet review: 1993214
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Abstract: This paper proves the semi-closedness of the range of the gradient for sufficiently smooth bumps in the Euclidean space.


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Additional Information

Ludovic Rifford
Affiliation: Institut Girard Desargues, Université Claude Bernard Lyon I, 69622 Villeurbanne, France
Email: rifford@igd.univ-lyon1.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07078-3
PII: S 0002-9939(03)07078-3
Keywords: Smooth bump, gradient
Received by editor(s): April 16, 2002
Published electronically: March 11, 2003
Communicated by: Jonathan M. Borwein
Article copyright: © Copyright 2003 American Mathematical Society